document.write( "Question 158698: 1)number problems: the sum of three positive numbers is 33. the second number is 3 greater than the first and the third is 4 times the first. find the three numbers.\r
\n" ); document.write( "\n" ); document.write( "2) number problem: the sum of three positive numbers is 24. the second number is 4 greater than the first and the the third is 3 times the first. find the three numbers.
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Algebra.Com's Answer #116877 by anjamini(3)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( " question 1:\r
\n" ); document.write( "\n" ); document.write( " let the first number = x\r
\n" ); document.write( "\n" ); document.write( " so, the second number = x + 3\r
\n" ); document.write( "\n" ); document.write( " and the third number = 4x\r
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\n" ); document.write( "\n" ); document.write( " sum of all the numbers = 33
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\n" ); document.write( " so, x +(x+3) + 4x = 33\r
\n" ); document.write( "\n" ); document.write( " or, x+ x+ 3 + 4x = 33\r
\n" ); document.write( "\n" ); document.write( " or, 6x + 3 = 33\r
\n" ); document.write( "\n" ); document.write( " or, 6x = 33-3\r
\n" ); document.write( "\n" ); document.write( " 6x = 30\r
\n" ); document.write( "\n" ); document.write( " so, x = 30/6 \r
\n" ); document.write( "\n" ); document.write( " so, x= 5\r
\n" ); document.write( "\n" ); document.write( " so, x+ 3
\n" ); document.write( " = 5+3 = 8\r
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\n" ); document.write( "\n" ); document.write( " 4x = 4*5 = 20\r
\n" ); document.write( "\n" ); document.write( " check :\r
\n" ); document.write( "\n" ); document.write( " replacing x by 5, we get :\r
\n" ); document.write( "\n" ); document.write( " 5 + 8 + 20 = 33\r
\n" ); document.write( "\n" ); document.write( "so, the three numbers are : 5, 8 and 20\r
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\n" ); document.write( "\n" ); document.write( " question 2:\r
\n" ); document.write( "\n" ); document.write( " let the first number = n\r
\n" ); document.write( "\n" ); document.write( " so, the second number is n +4\r
\n" ); document.write( "\n" ); document.write( " the third number is 3n\r
\n" ); document.write( "\n" ); document.write( " the sum of the numbers is 24\r
\n" ); document.write( "\n" ); document.write( " so, n + (n+4) + 3n\r
\n" ); document.write( "\n" ); document.write( " = n + n + 4 + 3n\r
\n" ); document.write( "\n" ); document.write( " = 5n + 4 \r
\n" ); document.write( "\n" ); document.write( " so, 5n +4 = 24\r
\n" ); document.write( "\n" ); document.write( " or, 5n = 24 - 4\r
\n" ); document.write( "\n" ); document.write( " or, 5n = 20\r
\n" ); document.write( "\n" ); document.write( " or, n = 20/5
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\n" ); document.write( " 0r, n = 4 \r
\n" ); document.write( "\n" ); document.write( " so, n+4 = 4 + 4 = 8\r
\n" ); document.write( "\n" ); document.write( " 3n = 3 * 4 = 12\r
\n" ); document.write( "\n" ); document.write( " check :\r
\n" ); document.write( "\n" ); document.write( " replacing n by 4, we get :\r
\n" ); document.write( "\n" ); document.write( " 4+ (4+4) +(3*4)
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\n" ); document.write( " = 4 + 8 + 12\r
\n" ); document.write( "\n" ); document.write( " = 24\r
\n" ); document.write( "\n" ); document.write( "so, the three numbers are 4, 8 and 12
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